Question

. (x²-2x+5)(2x+1)= .​

Answer 1

Answer:

(x²-2x+5)(2x+1)

=2x(x²-2x+5) +1 (x²-2x+5)

=2x³-4x²+10x+x²-2x+5

=2x³-4x²+x²+10x-2x+5

=2x³-3x²+8x+5

this is the answer

hope it helps uh.........

Answer 2

$\Huge\mathbb{{\color{navy}{AN}}{\purple{SW}}{\pink{ER}}{\color{pink}{:}}}$

$\bf{To~multiply:}$

$\sf{~~~~~(x^{2}-2x+5)(2x+1)}$

$\sf\leadsto{(x^{2}×2x)+(x^{2}×1)+(-2x×2x)+(-2x×1)+(5×2x)+(5×1)}$

$\sf\leadsto{(2x^{3})+(x^{2})+(-4x^{2})+(-2x)+(10x)+(5)}$

$\bf{Collecting~the~like~terms~we~get:}$

$\sf{~~~~~2x^{3}+(x^{2}-4x^{2})+(-2x+10x)+5}$

$\sf\leadsto{2x^{3}+(-3x^{2})+8x+5}$

$\sf\leadsto{ \color{red}{\underline{\boxed{\bf 2x^{3}-3x^{2}+8x+5}}}}$